screening is intrinsic & temporal (not density-dependent);

Purpose

Compare how chameleon (Khoury–Weltman), Vainshtein (DGP / galileon) and SVT resolve the 'Great Disconnect' between cosmological deviation from GR and Solar-System agreement with GR.

What it proves

Chameleon requires three new parameters (mass scale $M$ , self-interaction index $n$ , matter coupling $\beta_\chi$ ) and a field-dependent thin-shell mechanism to push $G_\mathrm{eff}/G_0-1<10^{-4}$ at solar density. Vainshtein needs two parameters (energy scale $\Lambda$ , coupling) and a nonlinear kinetic term. SVT needs exactly one ( $\lambda$ , already cosmologically pinned), and *no spatial screening at all* — the Solar System is flat because we live at the IR fixed point of the RG flow, not because of a density shield. Screening in SVT is temporal; $G(z)$ runs in cosmic time, $G(\rho)$ is identically $G_0$ across 35 decades of density.

Relation to current theory

Every modified-gravity proposal of the last twenty years pays a parameter price to hide from Cassini. SVT inverts the hierarchy: passing Solar-System bounds is automatic, and the 'work' lives in a single RG parameter that is simultaneously constrained by JWST galaxy counts (sim_38), DESI BAO (sim_39), $H_0$ (sim_43), and cluster lensing (sim_19). Single parameter, multiply constrained — what Dr. Turyshev calls the missing ingredient.

Key equation

N_{\mathrm{params}}^{\mathrm{SVT}} = 1 \;<\; N_{\mathrm{params}}^{\mathrm{Vainshtein}} = 2 \;<\; N_{\mathrm{params}}^{\mathrm{chameleon}} = 3

Plots

stdout tail

=================== VALIDATION ===================
  Chameleon G/G_0 at rho_solar    : 1.00000000  (excess 8.88e-16)  -> PASS
  Vainshtein fully screened inside r_V(Sun)=400 ly : PASS
  SVT G(rho)/G_0 flat across 35 decades of rho: PASS
  SVT G(z=0)/G_0 = 1 exactly (IR fixed point): PASS
  Free parameters: chameleon=3 | Vainshtein=2 | SVT=1
  SVT has the fewest : PASS
  Overall              : PASS

  SVT Prediction: screening is intrinsic & temporal (not density-dependent);
  z=0 sees the IR fixed point everywhere in space, hence no Cassini signal.
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